6s – 4 s' + 4s – 12 6s – 4 s° +4s+ 20 ||

Q: 3. Obtain in two ways the general solution of (r + sine - cose ) dr + r (sine + cose ) de = 0

A: Use substitution method

Q: L{u(t – 3)et sin(2t – 6)} = -- O a) None of these b) 2e-3s (s-5)+9 c) 2e-3(s+5) (s+5) +4 O d)…

A: To solve given question first we use the Laplace transform property for heviside function and solve…

Q: Find the exact solutions of vZ sin (x -)+ 1 = 0 for 0 sxs 47.

A:

Q: Find the general solution of y(4)+y'' = 3t2+4sin t-2 co

A:

Q: Find dy/dt. y (1 + sin 10t)-3 Select one: A. -3(1 + sin 10t)* B. -30(1 + sin 10t)¯“ cos 10t C.…

A: The solution is given below in the next step:

Q: Instantaneous velocity For the following position functions

A: We know that for any given position functionsst, velocity functionvt is given by vt=ddtst…

Q: 9. Find 14 values of S and R obtained from the difference equations: Sk41 = R, (1/cos(0.3S, )) %3D…

A: So this question is to be solved using Matlab code: I will share the input and output for this…

Q: t2, 0 2

A:

Q: 5. Find two solutions (not multiples of each other) of the Bessel equation of order x*y" +xy' + (x²…

A: The general form of the Bessel equation is ,                                          x2y" +xy'…

Q: d2s -= -162cos (9t), s'(0) = 9, s(0) = 8 dt2 A) s = -18 sin (9t) + 9 C) s = 2 cos (9t) + 9t + 6 B) s…

A: We need to solve d2sdt2=-162 cos9t,  s'(0)=9, s(0)=8. Now,          d2sdt2=-162 cos9tSubstitute…

Q: Q4/ Find only five of the following: 1-[t cos at 2-f(6 sin 2t – 5 cos 2t 6. 3+2S 3-[( 3 t5 – 2 t3+ 4…

A:

Q: (1+cos(4t) dt 2

A: Let's find integration of given function.

Q: Obtain general solution xcos2ydx+tanydy=0

A:

Q: Find L {(2- t) (5 cos 3t - 1)} - 1)} 5(s² +9) 10s s2-9 (s2 –9)² 5(s²-9) 1 2 s2 10s s2+9 (s²+9)² 2. 1…

A:

Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: Solve 2cos? (x) +3 cos (x)+1=0 for all solutíons osx<2 TT

A: Given 2cos2x+3cosx+1=00≤x≤2π

Q: Find the general solution of y" – 4y' + 5y : sin (1)

A: The given differential equation is  y" - 4y' + 5y = e2xsinx

Q: 1. A particle travels with acceleration ā = 2e-t i+5 cos t j – 3 sin t k. If the initial (i.e. at…

A: given  acceleration a→=2e-ti^+5costj^-3sintk^ at t=0 , initial position of the particle is 1,-3,2…

Q: Problem: dz dz аnd ду Find Əx 1. Z z = 4ex²y3 xy 2. x2+y? ,5,4 3. 2 = cos (x³y^)

A:

Q: dx+ 1.5 +§ (5r – 15)cos (5х — 15)сos dx COS 1.5 Jo (5x)cos 1.5

A: We have to apply the integral by parts.

Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand?…

A:

Q: (4r + 5)2 2 dr + tan r-y = Cos z

A: Given differential equation is 2dydx+tan x·y=(4x+5)2cos xy3

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A:

Q: √2-1₁² √4-x²-1,² ITI S y=0x=y=z=√x² + y² arctan() dzdxdy ||

A:

Q: B. BERNOULLI'S EQUATION dy 1) nx- 2y = -kxyl-a

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: when y=cos0 is horizontally factored by a factor of 1/4. y=co s1/4 θ y=cos θ + 1/4 y=1/4 cos θ…

A:

Q: L{3e2tsin4t – 4e2"cos4t} 16(s-2) (s-2)2+16 4(s-2) a. (s-2)²+16 3. b. (s-2)² +16 12 (s-2)2+16 4(s-2)…

A:

Q: 13. Find the general solution of dy ミIT dr

A: We find the general solution of the given differential equation by separating the variables.

Q: S 2z2 cos 5z dz using Integration by parts 2 2 z² cos(5z) +cos(5z) – + C> is this the correct…

A: We will evaluate the given integral in order to find the given answer is correct or not in the…

Q: sin COS dx V 32 COS 35 5cos² + C O 32 COS 32 + 4 COS 4 口 32 cosS Ssin+2-c cos () + c 35 4 4 32 CoS 7…

A:

Q: Determine an equation for the sinusoidal function shown. 2. 12 21 Oy = 0.5 cos[0.5(x+ x)] + 1.5 Oy,…

A: The general equation of a sin function is given by; y=A cos(Bx+C)+D Where; A→Amplitude of the…

Q: Q.5 Solve the wave equation: U₁=Uxx-ex-6x, U(0,1)=8, Ux(1,1)=3, U(x,0)=4sin ³x+ex+x³-ex+7 **********

A: Using separation of variables

Q: /16 cos (16л x5) dx dy. Os xs 2 Os ys x*

A:

Q: 4. Find all solutions to the equation 4sin x cos x = v2 in the interval [0,2]

A:

Q: a) x 3cost-3, y3sint+1,0si<2a x = 3 (ost-3 y = 3smt+| 3 (os (6)-3-0 351n(0)+/= (x,y) 8TY T/4 T/2…

A:

Q: 36. Sin(xy) + cos(yz) = 1. Compute z and az at P = (2, п/12,4). дх ду

A: Let us consider the given function z=f(x,y) The partial derivative of the function is obtained as…

Q: F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4…

A: Use the following formulas to calculate the Fourier cosine transform. Fee-ax=2πaa2+ω2…

Q: 2x Cos 23 find diy %3D

A:

Q: (2 - 3 sin 30 + y) dy- (9y cos 3p- p+1) do 0, y (0) = 2 Dy+4y-6y sin 3p+ q-20= 12 O y-y+9y cos 30- p…

A: We have to find

Q: Q-4) Find the general solution of the Cauchy-Euler equation x'y"+ xy'+4y = sin(In x)

A: Solve the Cauchy Euler differential equation

Q: Find L{(t- 2) (3 cos 5t + 1)}. COS 3(s2-25) (s²+25)? 30 | s2 s2 +25 6. 3 g3 s2 s2 +25 s(s² +25) 6s…

A: Find the Laplace transform of  L{(t-2)(3cos5t+1)}

Q: A T 3n 4n Sn 6 7n 8A 9n 10n11n 12n Match the graph to the equation. 4 cos -1 O y = 3 sin - n) - 1…

A:

Q: cos^2(w)=2sin(w) for all solutions 0≤w<2π

A:

Q: b) 4 (€) -et cos (dt+물) cos (2dt +물) COS 3

A:

Q: 37. y = (2x + 1)V2x + 1 38. y = 20(3x – 4)'/4(3x – 4)-1/5 3 39. у %3 40. y = (3 + cos³ 3x)-1/3 %3D…

A: Explanation of the solution is given below...

Q: (-1)"2x2n+1 2n +1 1. n=0 2x2n+1 2. (-1)". (2n + 1)! n=0 (-1)*2²" x2n (2n)! 3. n=0 2" x" 4. n! n=0 A.…

A: According to question "we have to choose the Maclaurin serieswith correct function correctly"

Q: 1) cos(s*)dtds

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: f5cos(1-5x) dr = O - 5sin (1 – 5x) + C O -sin (1 – 5x)+ C 一 sin (1 5x) + C 5 - O sin (1 – 5x) + C…

A:

Q: 3. Find the general solution of the Bernoulli's Equation. y = 5.4y – 12y, y(0) = 1. %3D

A:

Q: Enei Jan-19snk[(2n – 1)8] = %3D Select one: CO a. súnh(sink8) 4 Obsink(sink8) 4 3. o d. sinh(4sink8)

A: